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7.Alternating Current
medium
In the circuit shown, $X$ is joined to $Y$ for a long time, and then $X$ is joined to $Z$. The total heat produced in $R_2$ is :=

A
$\frac{{L{E^2}}}{{2R_1^2}}$
B
$\frac{{L{E^2}}}{{2R_2^2}}$
C
$\frac{{L{E^2}}}{{2{R_1}{R_2}}}$
D
$\frac{{L{E^2}{R_2}}}{{2R_1^2}}$
Solution
$U=\frac{1}{2} L I_{0}^{2}=\frac{1}{2} L \times\left(\frac{E}{R_{1}}\right)^{2}=\frac{L E^{2}}{2 R_{1}^{2}}$
$H=U \Rightarrow H=\frac{L E^{2}}{2 R_{1}^{2}}$
Standard 12
Physics